ON SOME LAMBDA-PASCAL SEQUENCE SPACES AND COMPACT OPERATORS

Küçük Resim Yok

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Rocky Mt Math Consortium

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We introduce Lambda-Pascal sequence spaces l(q) (G), c0(G), c(G) and l8(G) generated by the matrix G which is obtained by the product of Pascal matrix and 3-matrix. It is proved that the Lambda-Pascal sequence spaces l (q) ( G), c(0)(G), c(G) and l(infinity)(G) are BK-spaces and linearly isomorphic to l (q), c(0), c and l(infinity), respectively. We construct Schauder bases and obtain alpha-, ss- and gamma-duals of the new spaces. We state and prove characterization theorems related to matrix transformation from the space l (q) (G) to the spaces l(infinity), c and c(0). Finally, we determine necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(G) to any one of the spaces l(infinity), c, c(0) or l(1).

Açıklama

Anahtar Kelimeler

sequence space, Pascal matrix, Schauder basis, Kothe duals, matrix mappings, compact operator

Kaynak

Rocky Mountain Journal of Mathematics

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

52

Sayı

3

Künye